Quantum Reports

17 pages, 3885 KiB

Open AccessArticle

Quantum Circuit Learning with Error Backpropagation Algorithm and Experimental Implementation

by Masaya Watabe, Kodai Shiba, Chih-Chieh Chen, Masaru Sogabe, Katsuyoshi Sakamoto and Tomah Sogabe

Quantum Rep. 2021, 3(2), 333-349; https://doi.org/10.3390/quantum3020021 - 28 May 2021

Cited by 9 | Viewed by 4964

Abstract

Quantum computing has the potential to outperform classical computers and is expected to play an active role in various fields. In quantum machine learning, a quantum computer has been found useful for enhanced feature representation and high-dimensional state or function approximation. Quantum–classical hybrid [...] Read more.

Quantum computing has the potential to outperform classical computers and is expected to play an active role in various fields. In quantum machine learning, a quantum computer has been found useful for enhanced feature representation and high-dimensional state or function approximation. Quantum–classical hybrid algorithms have been proposed in recent years for this purpose under the noisy intermediate-scale quantum computer (NISQ) environment. Under this scheme, the role played by the classical computer is the parameter tuning, parameter optimization, and parameter update for the quantum circuit. In this paper, we propose a gradient descent-based backpropagation algorithm that can efficiently calculate the gradient in parameter optimization and update the parameter for quantum circuit learning, which outperforms the current parameter search algorithms in terms of computing speed while presenting the same or even higher test accuracy. Meanwhile, the proposed theoretical scheme was successfully implemented on the 20-qubit quantum computer of IBM Q, ibmq_johannesburg. The experimental results reveal that the gate error, especially the CNOT gate error, strongly affects the derived gradient accuracy. The regression accuracy performed on the IBM Q becomes lower with the increase in the number of measurement shot times due to the accumulated gate noise error. Full article

(This article belongs to the Special Issue Exclusive Feature Papers of Quantum Reports)

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8 pages, 259 KiB

Open AccessArticle

The Color of Money: Threshold Effects in Quantum Economics

by David Orrell

Quantum Rep. 2021, 3(2), 325-332; https://doi.org/10.3390/quantum3020020 - 14 May 2021

Cited by 5 | Viewed by 3448

Abstract

Many cognitive phenomena of the sort studied by behavioral psychologists show evidence of a threshold effect, where a certain minimum impulse is required in order to produce a change. An example is the phenomenon of preference reversal, where a change in context affects [...] Read more.

Many cognitive phenomena of the sort studied by behavioral psychologists show evidence of a threshold effect, where a certain minimum impulse is required in order to produce a change. An example is the phenomenon of preference reversal, where a change in context affects a decision, but only if the effect on perceived utility is sufficiently large. Similar threshold effects play a role in the endowment effect, where the change of context from owning to buying something induces a step change in its perceived value, or the ultimatum game, where people demand a certain minimum threshold amount before a deal can be accepted. The situation is similar to the photoelectric experiment in physics, where a minimum threshold of energy from a photon is required in order to dislodge an electron from an atom. In physics, this quantum of energy is written as the product of Planck’s constant and frequency. This paper uses the concept of entropic force to derive a similar expression for quantum economics. The theory is applied to a range of cognitive and economic phenomena exhibiting a threshold effect. Full article

(This article belongs to the Special Issue The Close Connection between Economics and Quantum Theory: A Topological Exploration)

9 pages, 370 KiB

Open AccessArticle

Measurement Problem in Quantum Mechanics and the Surjection Hypothesis

by Fritz W. Bopp

Quantum Rep. 2021, 3(2), 316-324; https://doi.org/10.3390/quantum3020019 - 8 May 2021

Viewed by 2698

Abstract

Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum [...] Read more.

Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum dynamics. The decoherence concept explains the third contribution. It can be based on the requirement that witnesses reaching the end of time on the wave function side and the conjugate one have to be identical. In this way, it also stays within the quantum dynamics domain. The surjection hypothesis explains the actual choice decision. It is based on a two boundary interpretation applied to the complete quantum universe. It offers a simple way to reduce these seemingly random projections to purely deterministic unitary quantum dynamics, eliminating the measurement problem. Full article

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30 pages, 2279 KiB

Open AccessReview

Evidence of Predictive Power and Experimental Relevance of Weak-Values Theory

by C. Aris Chatzidimitriou-Dreismann

Quantum Rep. 2021, 3(2), 286-315; https://doi.org/10.3390/quantum3020018 - 4 May 2021

Cited by 2 | Viewed by 2955

Abstract

The concepts of Weak Values (WV) and Two-State Vector Formalism (TSVF) appear to motivate new experiments and to offer novel insights into dynamical processes in various materials of several scientific and technological fields. To support this view, here we consider the dynamics of [...] Read more.

The concepts of Weak Values (WV) and Two-State Vector Formalism (TSVF) appear to motivate new experiments and to offer novel insights into dynamical processes in various materials of several scientific and technological fields. To support this view, here we consider the dynamics of hydrogen atoms and/or molecules in nanostructured materials like e.g., carbon nanotubes. The experimental method applied is incoherent scattering of thermal (i.e., non-relativistic) neutrons (INS). In short, the main finding consists in the following effect: the measured energy and momentum transfers are shown to contradict even qualitatively the associated expectations of conventional scattering theory. This effect was recently observed in INS experiments, e.g., in H

_{2}

adsorbed in carbon nanotubes, where a large momentum transfer deficit was found. Due to the broad abundance of hydrogen, these findings may be also of technological importance, since they indicate a considerably enhanced H mobility in specific structured material environments. A new INS experiment is proposed concerning the H mobility of an ultra-fast proton conductor (H

_{3}

OSbTeO

_{6}

) being of technological relevance. Further neutron scattering investigations on other systems (metallic hydrides and H

_{2}

encapsulated inside C

_{60}

) are proposed. As concerns theoretical implications, the analysis of the experimental results strongly supports the view that the wavefunction (or state vector) represents an ontological physical entity of a single quantum system. Full article

(This article belongs to the Special Issue Exclusive Feature Papers of Quantum Reports)

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14 pages, 342 KiB

Open AccessArticle

The ABC of Deutsch–Hayden Descriptors

by Charles Alexandre Bédard

Quantum Rep. 2021, 3(2), 272-285; https://doi.org/10.3390/quantum3020017 - 27 Apr 2021

Cited by 8 | Viewed by 3969

Abstract

It has been more than 20 years since Deutsch and Hayden proved the locality of quantum theory, using the Heisenberg picture of quantum computational networks. Of course, locality holds even in the face of entanglement and Bell’s theorem. Today, most researchers in quantum [...] Read more.

It has been more than 20 years since Deutsch and Hayden proved the locality of quantum theory, using the Heisenberg picture of quantum computational networks. Of course, locality holds even in the face of entanglement and Bell’s theorem. Today, most researchers in quantum foundations are still convinced not only that a local description of quantum systems has not yet been provided, but that it cannot exist. The main goal of this paper is to address this misconception by re-explaining the descriptor formalism in a hopefully accessible and self-contained way. It is a step-by-step guide to how and why descriptors work. Finally, superdense coding is revisited in the light of descriptors. Full article

(This article belongs to the Special Issue Exclusive Feature Papers of Quantum Reports)

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10 pages, 1636 KiB

Open AccessArticle

Noise-Assisted Discord-Like Correlations in Light-Harvesting Photosynthetic Complexes

by Pablo Reséndiz-Vázquez, Ricardo Román-Ancheyta and Roberto de J. León-Montiel

Quantum Rep. 2021, 3(2), 262-271; https://doi.org/10.3390/quantum3020016 - 15 Apr 2021

Viewed by 3829

Abstract

Transport phenomena in photosynthetic systems have attracted a great deal of attention due to their potential role in devising novel photovoltaic materials. In particular, energy transport in light-harvesting complexes is considered quite efficient due to the balance between coherent quantum evolution and decoherence, [...] Read more.

Transport phenomena in photosynthetic systems have attracted a great deal of attention due to their potential role in devising novel photovoltaic materials. In particular, energy transport in light-harvesting complexes is considered quite efficient due to the balance between coherent quantum evolution and decoherence, a phenomenon coined Environment-Assisted Quantum Transport (ENAQT). Although this effect has been extensively studied, its behavior is typically described in terms of the decoherence’s strength, namely weak, moderate or strong. Here, we study the ENAQT in terms of quantum correlations that go beyond entanglement. Using a subsystem of the Fenna–Matthews–Olson complex, we find that discord-like correlations maximize when the subsystem’s transport efficiency increases, while the entanglement between sites vanishes. Our results suggest that quantum discord is a manifestation of the ENAQT and highlight the importance of beyond-entanglement correlations in photosynthetic energy transport processes. Full article

(This article belongs to the Special Issue Recent Advances in Quantum Biology)

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9 pages, 1308 KiB

Open AccessArticle

Interaction between Different Kinds of Quantum Phase Transitions

by Angel Ricardo Plastino, Gustavo Luis Ferri and Angelo Plastino

Quantum Rep. 2021, 3(2), 253-261; https://doi.org/10.3390/quantum3020015 - 6 Apr 2021

Cited by 3 | Viewed by 2508

Abstract

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one [...] Read more.

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings). Full article

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Quantum Rep., Volume 3, Issue 2 (June 2021) – 7 articles

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